# 4: Conditional Probability

- Page ID
- 3134

- 4.1: Discrete Conditional Probability
- In this section we ask and answer the following question. Suppose we assign a distribution function to a sample space and then learn that an event \(E\) has occurred. How should we change the probabilities of the remaining events? We shall call the new probability for an event \(F\) the and denote it by \(P(F|E)\).

- 4.3: Paradoxes
- One must be very careful in dealing with problems involving conditional probability.

Thumbnail: On a tree diagram, branch probabilities are conditional on the event associated with the parent node. (CC0; Gnathan87 via Wikipedia).